A modified incremental harmonic balance method for 2-DOF airfoil aeroelastic systems with nonsmooth structural nonlinearities
type: Item
instance of: scholarly article
title: A modified incremental harmonic balance method for 2-DOF airfoil aeroelastic systems with nonsmooth structural nonlinearities
zbMATH Open document ID: 1459.70008
DOI: 10.1155/2020/5767451
author: Yingge Ni
author: Wei Zhang
author: Yi Lv
published in: Mathematical Problems in Engineering
publication date: 2020-10-14T00:00:00Z
review text: Summary: A modified incremental harmonic balance method is presented to analyze the aeroelastic responses of a 2-DOF airfoil aeroelastic system with a nonsmooth structural nonlinearity. The current method, which combines the traditional incremental harmonic balance method and a fast Fourier transform, can be used to obtain the higher-order approximate solution for the aeroelastic responses of a 2-DOF airfoil aeroelastic system with a nonsmooth structural nonlinearity using significantly fewer linearized algebraic equations than the traditional method, and the dominant frequency components of the response can be obtained by a fast Fourier transform of the numerical solution. Thus, periodic solutions can be obtained, and the calculation process can be simplified. Furthermore, the nonsmooth nonlinearity was expanded into a Fourier series. The procedures of the modified incremental harmonic balance method were demonstrated using systems with hysteresis and free play nonlinearities. The modified incremental harmonic balance method was validated by comparing with the numerical solutions. The effect of the number of harmonics on the solution precision as well as the effect of the free-play and stiffness ratio on the response amplitude is discussed.
Mathematics Subject Classification ID: 70B15
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 70K40
Mathematics Subject Classification ID: 37N05
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 7260967
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/5767451
OpenAlex ID: W3089651509
cites work: Q3266324
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description: scientific article; zbMATH DE number 7260967